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Finding the Fourth Proportional to 3,778.78, 5,214.78 and 2,286.38

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Solution

The fourth proportional to 3,778.78, 5,214.78 and 2,286.38 is: 3,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.78 : 5,214.78 = 2,286.38 : x
  2. Step 2: Convert to fraction form
    3,778.78/5,214.78 = 2,286.38/x
  3. Step 3: Cross multiply
    3,778.78x = 5,214.78 × 2,286.38
  4. Step 4: Simplify right side
    3,778.78x = 11,922,952.40
  5. Step 5: Solve for x
    x = 11,922,952.40/3,778.78
  6. Step 6: Final answer
    x = 3,155.24

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.